7661345760 has 288 divisors, whose sum is σ = 26620513920. Its totient is φ = 2006237184.

The previous prime is 7661345669. The next prime is 7661345761. The reversal of 7661345760 is 675431667.

7661345760 is a `hidden beast` number, since 7 + 66 + 13 + 4 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7661345761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32055721 + ... + 32055959.

It is an arithmetic number, because the mean of its divisors is an integer number (92432340).

Almost surely, 2^7661345760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7661345760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13310256960).

7661345760 is an abundant number, since it is smaller than the sum of its proper divisors (18959168160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7661345760 is a wasteful number, since it uses less digits than its factorization.

7661345760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 7661345760 is about 87529.1137850715. The cubic root of 7661345760 is about 1971.3709577186.

The spelling of 7661345760 in words is "seven billion, six hundred sixty-one million, three hundred forty-five thousand, seven hundred sixty".